a) A steel container of compressed gas with an initial pressure of 369 kPa is heated from 15.0°C to 42.5°C because of storage in a sunny area. Calculate the new pressure in the container. Remember that temperature needs to be in Kelvin when working with the gas laws! b) What would the volume of air inside a 40.0 L tire under 218 kPa of pressure occupy if it all escaped into a balloon at 101.3 kPa? c) As a car is driven, the tires heat up and the volume and the pressure change. Calculate the new pressure of a 30.0 L tire initially at 255 kPa that expands to 32.3 L when it heats up from 17.0°C to 41.0°C.
Ideal and Real Gases
Ideal gases obey conditions of the general gas laws under all states of pressure and temperature. Ideal gases are also named perfect gases. The attributes of ideal gases are as follows,
Gas Laws
Gas laws describe the ways in which volume, temperature, pressure, and other conditions correlate when matter is in a gaseous state. The very first observations about the physical properties of gases was made by Robert Boyle in 1662. Later discoveries were made by Charles, Gay-Lussac, Avogadro, and others. Eventually, these observations were combined to produce the ideal gas law.
Gaseous State
It is well known that matter exists in different forms in our surroundings. There are five known states of matter, such as solids, gases, liquids, plasma and Bose-Einstein condensate. The last two are known newly in the recent days. Thus, the detailed forms of matter studied are solids, gases and liquids. The best example of a substance that is present in different states is water. It is solid ice, gaseous vapor or steam and liquid water depending on the temperature and pressure conditions. This is due to the difference in the intermolecular forces and distances. The occurrence of three different phases is due to the difference in the two major forces, the force which tends to tightly hold molecules i.e., forces of attraction and the disruptive forces obtained from the thermal energy of molecules.
a) A steel container of compressed gas with an initial pressure of 369 kPa is heated from 15.0°C to 42.5°C because of storage in a sunny area. Calculate the new pressure in the container. Remember that temperature needs to be in Kelvin when working with the
b) What would the volume of air inside a 40.0 L tire under 218 kPa of pressure occupy if it all escaped into a balloon at 101.3 kPa?
c) As a car is driven, the tires heat up and the volume and the pressure change. Calculate the new pressure of a 30.0 L tire initially at 255 kPa that expands to 32.3 L when it heats up from 17.0°C to 41.0°C.
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